Inverse spectral problem for differential pencils with a frozen argument

Hu Y., ŞAT M.

Journal of Inverse and Ill-Posed Problems, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1515/jiip-2023-0085
  • Dergi Adı: Journal of Inverse and Ill-Posed Problems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Differential pencils, inverse spectral problems,frozen argument
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

This paper deals with differential pencils possessing a term depending on the unknown function with a fixed argument. We deduce the so called main equation together with its fine structure for the spectral problem. Then, according to the boundary conditions and the position of argument, we describe two cases: degenerate and non-degenerate. For these two cases, the uniqueness of inverse spectral problem is studied and a constructive procedure for reconstructing the potentials along with necessary and sufficient conditions of the inverse problem solvability are obtained.